Skip to main content
Earth, Planets and Space
Fig. 4 | Earth, Planets and Space

Fig. 4

From: Linear analysis on the onset of thermal convection of highly compressible fluids with variable viscosity and thermal conductivity in spherical geometry: implications for the mantle convection of super-Earths

Fig. 4

The radial profiles of the velocity perturbations V against \(r_\eta \) in the fluid layer of different model geometries obtained for the cases with a \(r_k=1\), b \(r_k=3\), c \(r_k=10\), d \(r_k=30\) and e \(r_k=100\). In each diagram, the vertical axis indicates the dimensionless height, while the horizontal axis indicates \(\log _{10}r_\eta \). Shown in color and thin solid contours are the amplitudes of radial velocity perturbations V normalized by their maxima \(V_\text {max}\) for given \(r_\eta \). For the color scale for the distribution of \(V/V_\text {max}\), see the scale bar at the bottom of the figure. The contour lines are drawn for \(0.1\le |V/V_\text {max}|\le 0.9\) with the interval of 0.1. The green lines indicate the heights which yield \(V=V_\text {max}\) for given \(r_\eta \). In some cases where regions of stable thermal stratification exist, we also show by thick gray lines the heights below which the thermal stratification is stable

Back to article page